## Clocks – Questions, Tricks, Problems and Solutions

Problems on Clocks aptitude – General Questions Practice different types of aptitude test for free, including numerical and verbal tests. All questions come with worked solutions to help you improve.

### Clocks aptitude Tricks

*Minute Spaces:*The face or dial of watch is a circle whose circumference is divided into 60 equal parts, called minute spaces.*Hour Hand and Minute Hand:*A clock has two hands, the smaller one is called the*hour hand*or*short hand*while the larger one is called*minute hand*or*long hand*.- In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.
- In every hour, both the hands coincide once.
- The hands are in the same straight line when they are coincident or opposite to each other.
- When the two hands are at right angles, they are 15 minute spaces apart.
- When the hands are in opposite directions, they are 30 minute spaces apart.
- Angle traced by hour hand in 12 hrs = 360°
- Angle traced by minute hand in 60 min. = 360°.
- If a watch or a clock indicates 8.15, when the correct time is 8, it is said to be 15 minutes
*too fast*.On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes*too slow*.

## Clocks aptitude

### Clock aptitude Formula

- Clock formula: 11/12. This is a very important point for solving aptitude questions on clocks.
- As minute hand covers one full circle i.e. 360 degrees in one hour, that means it travels 360/60 = 6 degrees/min.
- An hour hand covers one part of the 12 major parts of the circle which means it covers 360/12 = 30 degrees in one hour i.e. it travels 30/60 = 1/2 degree per min.
- Now, the relative speed of the minute hand is 6 – 1/2 = 11/2 or 5.5 degrees. This 11/2 degrees will be useful in finding the angle between the two hands of the clock.
- The complete circle has a total of 360 degrees and in terms of minute spaces, it has been divided into 60 minutes spaces, which means each minute space represents 360/60 = 6 degrees.
- The complete circle has been divided into 12 equal bigger units also, which we call as hours. This further implies that every hour space covers a total of 360/12 = 30 degrees.
- The hour hand and minute hand meet once every hour. But in a 12 hour period, they meet 11 times.
- There is one angle of 180 degrees in every hour i.e. both the hands are in the straight line in the opposite direction, but in a twelve hour period it happens 11 times.
- There are 2 right angles every hour, but in a 12 hour period there are 22 such angles.
- If the two hands are moving at the normal speeds, they should meet after every 65 5/11 min.
- Clock Aptitude Tricks -Short Cut – Between x and (x + 1) O’clock, the 2 hands will be ‘t’ min apart at (5x t) 12/11 past x.